Kantorovich算子的二阶导数逼近

On the Approximation of Second Derivatves by Kantorovich Operators

本文讨论了Kantorovich算子的二阶导数K_n″(f,x)对有界变差函数f″(x)的逼近,给出了点态收敛阶并证明了所得到的收敛阶是不能改进的。

In this paper, the approximation for the bounded variation function by the second derivatives of Kantorovich operators was discussed, and the degree of pointwise ConvergenCe is given, but the results can't be improved.